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14269983024 = 2431126413833
BaseRepresentation
bin11010100101000111…
…01010100100110000
31100211111111020122210
431102203222210300
5213211103424044
610315555132120
71013423566023
oct152243524460
940744436583
1014269983024
116063040500
122922ba4040
13146552a04b
149952b51ba
15587bb31b9
hex3528ea930

14269983024 has 120 divisors (see below), whose sum is σ = 40593870576. Its totient is φ = 4316364800.

The previous prime is 14269982999. The next prime is 14269983043. The reversal of 14269983024 is 42038996241.

It is a super-3 number, since 3×142699830243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3721012 + ... + 3724844.

Almost surely, 214269983024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14269983024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296935288).

14269983024 is an abundant number, since it is smaller than the sum of its proper divisors (26323887552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14269983024 is a wasteful number, since it uses less digits than its factorization.

14269983024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 14269983024 in words is "fourteen billion, two hundred sixty-nine million, nine hundred eighty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 641 726 968 1282 1452 1923 1936 2564 2904 3833 3846 5128 5808 7051 7666 7692 10256 11499 14102 15332 15384 21153 22998 28204 30664 30768 42163 42306 45996 56408 61328 77561 84326 84612 91992 112816 126489 155122 168652 169224 183984 232683 252978 310244 337304 338448 463793 465366 505956 620488 674608 927586 930732 1011912 1240976 1391379 1855172 1861464 2023824 2456953 2782758 3710344 3722928 4913906 5565516 7370859 7420688 9827812 11131032 14741718 19655624 22262064 27026483 29483436 39311248 54052966 58966872 81079449 108105932 117933744 162158898 216211864 297291313 324317796 432423728 594582626 648635592 891873939 1189165252 1297271184 1783747878 2378330504 3567495756 4756661008 7134991512 14269983024